Search a number
-
+
23882769 = 361812
BaseRepresentation
bin101101100011…
…0110000010001
31122221101000000
41123012300101
522103222034
62211520213
7410000031
oct133066021
948841000
1023882769
1112532529
127bb9069
134c42821
1432598c1
15216b599
hex16c6c11

23882769 has 21 divisors (see below), whose sum is σ = 36006699. Its totient is φ = 15833880.

The previous prime is 23882699. The next prime is 23882779. The reversal of 23882769 is 96728832.

The square root of 23882769 is 4887.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 263169 + 23619600 = 513^2 + 4860^2 .

It is not a de Polignac number, because 23882769 - 27 = 23882641 is a prime.

It is a super-2 number, since 2×238827692 = 1140773310214722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23882779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 131859 + ... + 132039.

Almost surely, 223882769 is an apocalyptic number.

23882769 is the 4887-th square number.

23882769 is the 2444-th centered octagonal number.

It is an amenable number.

23882769 is a deficient number, since it is larger than the sum of its proper divisors (12123930).

23882769 is an frugal number, since it uses more digits than its factorization.

23882769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 184 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The cubic root of 23882769 is about 287.9794907270.

The spelling of 23882769 in words is "twenty-three million, eight hundred eighty-two thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 81 181 243 543 729 1629 4887 14661 32761 43983 98283 131949 294849 884547 2653641 7960923 23882769